1. Section 2-2: Conditional Statements

2. Conditional A statement that can be written in If-then form symbol: If p —>, then q

3. Converse The statement formed by exchanging the hypothesis and conclusion of the conditional statement symbol: q —> p

4. Inverse The statement formed by negating the hypothesis and conclusion of the conditional statement symbol: ~p —> ~q

5. Contrapositive The statement formed by exchanging AND negating the hypothesis and conclusion of the conditional statement symbol: ~q —> ~p

6. If it rains, then I will get wet. 1. If I don’t get wet, then it’s not raining. ____ 2. If I get wet, then it’s raining. ____ 3. If it’s not raining, then I don’t get wet. ____ A) converse B) inverseC) contrapositive

7. Truth Value Determine the truth of each statement. If the statement is false, provide a counterexample. 1. If I don’t get wet, then it’s not raining. 2. If I get wet, then it’s raining. 3. If it’s not raining, then I don’t get wet.

8. Section 2-3: Deductive Reasoning

9. Deductive Reasoning facts, definitions, and properties. Using logic to draw conclusions based on

10. Law of Syllogism If p—> qand q—> r are true statements, then p—> r is a true statement.

11. Section 2-4: Biconditional Statements

12. Biconditional Statements can be written in the form “p if and only if q”, are reversible contain the conditional AND converse statements “if and only if ” shorthand: iff which means “if p, then q” and “if q, then p”